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Finding the Fourth Proportional to 1,340.78, 1,850.30 and 874.76

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Solution

The fourth proportional to 1,340.78, 1,850.30 and 874.76 is: 1,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.78 : 1,850.30 = 874.76 : x
  2. Step 2: Convert to fraction form
    1,340.78/1,850.30 = 874.76/x
  3. Step 3: Cross multiply
    1,340.78x = 1,850.30 × 874.76
  4. Step 4: Simplify right side
    1,340.78x = 1,618,568.43
  5. Step 5: Solve for x
    x = 1,618,568.43/1,340.78
  6. Step 6: Final answer
    x = 1,207.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.